Positive solutions for second-order differential equations of Kirchhoff type on the half-line


The aim of the present paper is to study the existence of nontrivial nonnegative solutions for asecond-order boundary value problem of Kirchhoff type on the half-line. Our approach is based on variational methods, a monotonicity trick related to the mountain pass lemma, cut-off functional technique, and a Pohozaev type identity.


Habiba Boulaiki
Faculty of Mathematics USTB, El-Alia Bar-Ezzouar Algiers, Algeria

Toufik Moussaoui
Ecole Normale Superieure, Kouba, Algiers, Algeria

Radu Precup
Babes-Bolyai University, Cluj-Napoca, Romania



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Habiba Boulaiki  Toufik Moussaoui, R. Precup, Positive solutions for second-order differential equations of Kirchhoff type on the half-line, Carpathian J. Math. 37 (2021), No. 2., 325-338, http://dx.doi.org/10.37193/CJM.2021.02.17


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Carpathian J. Math.

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1584 – 2851

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1843 – 4401

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